Quantum Computing is a new and exciting field at the intersection of mathematics, computer science and physics. It concerns a utilization of quantum mechanics to improve the efficiency of computation. Here we present a gentle introduction to some of the ideas in quantum computing. The paper begins by motivating the central ideas of quantum mechanics and quantum computation with simple toy model...

We explain how the use of mathematical software improves the teaching of mathematics to, and its understanding by, students of chemistry, while greatly expanding their capabilities to solve realistic chemical problems. After an explanation of the need to improve this teaching and the opportunity with symbolic computation for this purpose, we outline the content of curriculum and its implementat...

Sufficient conditions for computation of the H-functions with complex parameters by means of residues are derived and some examples are given. 2000 Mathematics Subject Classification. Primary 33C60.

References Most of the material in these lecture notes is discussed in greater detail in the following two books, which I recommend you study if you are interested in quantum computation. 1. M. Nielsen and I. Chuang. Quantum Computation and Quantum Information. Cambridge University Press, 2000. 2. A. Kitaev, A. Shen, and M. Vyalyi. Classical and Quantum Computation, volume 47 of Graduate Studie...

The Mathematics Education Markup Language (MeML) is central to the Web-based Mathematics Education (WME) [12] framework (see Figure 1) under investigation at ICM/Kent. Defined in XML syntax, MeML provides effective and expressive markup elements to represent and structure mathematics education pages that may also contain XHTML and MathML [6] elements. MeML aims to empower mathematics teachers, ...

Face recognition is one of the most important biometrics pattern recognitions, which has been widely applied in a variety of enterprise, civilian and law enforcement. The privacy of biometrics data raises important concerns, in particular if computations over biometric data is performed at untrusted servers. In previous work of privacy-preserving face recognition, in order to protect individual...

Hyers-Ulam-Rassias stability have been studied in the contexts of several areas of mathematics. The concept of fuzziness and its extensions have been introduced to almost all branches of mathematics in recent times.Here we define the cubic functional equation in 2-variables and establish that Hyers-Ulam-Rassias stability holds for such equations in intuitionistic fuzzy Banach spaces.

The control problem and Dynamic programming is a powerful tool in economics and management. We review the dynamic programming problem from its beginning up to its present stages. A problem which was involved in physics and mathematics in I 7” century led to a branch of mathematics called calculus of variation which was used in economic, and management at the end of the first quarter of the 20” ...